An Extension of the COCR Method to Solving Shifted Linear Systems with Complex Symmetric Matrices

作者：Sogabe Tomohiro^*; Zhang Shao Liang

来源：East Asian Journal on Applied Mathematics, 2011, 1(2): 97-107.

DOI：10.4208/eajam.260410.240510a

• Shifted linear systems
• complex symmetric matrices
• COCR
• Krylov subspace methods
• electronic structure calculation

The Conjugate Orthogonal Conjugate Residual (COCR) method [T. Sogabe and S.-L. Zhang, JCAM, 199 (2007), pp. 297-303.] has recently been proposed for solving complex symmetric linear systems. In the present paper, we develop a variant of the COCR method that allows the efficient solution of complex symmetric shifted linear systems. Some numerical examples arising from large-scale electronic structure calculations are presented to illustrate the performance of the variant.

• 出版日期2011-5